88466112 has 168 divisors, whose sum is σ = 298130976. Its totient is φ = 24551424.

The previous prime is 88466101. The next prime is 88466117. The reversal of 88466112 is 21166488.

88466112 is a `hidden beast` number, since 88 + 466 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88466117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148888 + ... + 149480.

Almost surely, 2^88466112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149065488).

88466112 is an abundant number, since it is smaller than the sum of its proper divisors (209664864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88466112 is a wasteful number, since it uses less digits than its factorization.

88466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 88466112 is about 9405.6425617817. The cubic root of 88466112 is about 445.5799567024.

The spelling of 88466112 in words is "eighty-eight million, four hundred sixty-six thousand, one hundred twelve".